Question

Draw a triangle between the houses of Jose, Ed, and Brad. Determine whether this triangle is a scalene, isosceles, or equilateral triangle. Explain your reasoning?​

Answer 1

The distance between two points is the number of units between the points

• See attachment for the required triangle
• The triangle is a scalene triangle

From the graph, we have the following coordinates

$\mathbf{J = (-3,3)}$

$\mathbf{E = (-2,-1)}$

$\mathbf{B = (3,1)}$

The distance between their houses is calculated using the following distance formula

$\mathbf{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

So, we have:

$\mathbf{JE = \sqrt{(-3 - -2)^2 + (3 - -1)^2}}$

$\mathbf{JE = \sqrt{17}}$

$\mathbf{JB = \sqrt{(-3 - 3)^2 + (3 -1)^2}}$

$\mathbf{JB = \sqrt{40}}$

$\mathbf{EB = \sqrt{(-2 - 3)^2 + (-1 -1)^2}}$

$\mathbf{EB = \sqrt{29}}$

None of the side lengths are equal.

Hence, the triangle is a scalene triangle

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